Question 1

Which of the following best describes the difference between distance and displacement for a runner who jogs 8 m east and then 3 m west along a straight path?

Accepted Answer

Distance = 11 m, Displacement = 5 m east

Question 2

A car is cruising down a straight road at $$15\ \mathrm{m/s}. To $$overtake a slower vehicle, the driver steps on the accelerator and achieves a constant acceleration of $$2.0\ \mathrm{m/s^2$}. $$After $$5.0\ \mathrm{s}$$, the car reaches $$25\ \mathrm{m/s}. $$How far does the car travel during this period of acceleration?

Accepted Answer

$$100\ \mathrm{m}$$

Question 3

Which statement about acceleration is correct?

Accepted Answer

If velocity is negative and acceleration is negative, the object speeds up.

Question 4

A cheetah is sprinting in a straight line at $$20.0\ \mathrm{m/s}. It $$slows down to a stop in $$5.00\ \mathrm{s}. $$How far does the cheetah travel while decelerating?

Accepted Answer

$$50.0\ \mathrm{m}$$

Question 5

Given the equation $$x = vt - 2a/t^2$, where x$ is displacement, v$ is velocity, a$ is acceleration, and t$ is time, is this equation dimensionally correct?

Accepted Answer

No, the second term does not have dimensions of length.

Question 6

A vector has components $$A_x = -8$$ units and $$A_y = 6$$ units. What angle does this vector make with the positive x-axis?

Accepted Answer

$$143.1^\circ$$ above the x-axis

Question 7

If all components of a vector are negative, what can be said about the magnitude of the vector?

Accepted Answer

The magnitude is positive.

Question 8

A car moves along a straight road. Its velocity at $$t = 0\ \mathrm{s} is$$ $$20\ \mathrm{m/s}$$ east. It decelerates uniformly and comes to a stop after $$8\ \mathrm{s}. It $$then accelerates in the opposite direction (west) and reaches $$16\ \mathrm{m/s}$$ after $$4\ \mathrm{s}. $$What is the average acceleration for the entire motion? Take east as positive.

Accepted Answer

$$-0.4\ \mathrm{m/s^2$}$$

Question 9

A force $$F$$ has a magnitude of $$25.0\ \mathrm{N}$$ and points at an angle of $$30^\circ$$ north of east. What is the north (y) component of this force?

Accepted Answer

$$25.0 \sin 30^\circ = 12.5\ \mathrm{N}$$

Question 10

A duck starts running from rest and accelerates uniformly along a straight path. It covers $$2.0\ \mathrm{m} in $$the first second. How far will it be after $$5$$ seconds?

Accepted Answer

$$50.0\ \mathrm{m}$$

Question 11

Which of the following is the correct number of significant figures in the number $$0.040$$?

Accepted Answer

2

Question 12

Which velocity-time graph best matches an object that moves rightward, slows to a stop, then moves leftward?

Accepted Answer

A graph that starts positive, decreases to zero, then becomes negative.

Question 13

If an object is moving to the left with a velocity of $$-6\ \mathrm{m/s}$$ when $$t=0$$, and is observed to be gradually coming to rest, what can you conclude about the direction of its acceleration?

Accepted Answer

Acceleration is positive until it stops, then negative.

Question 14

What is the average velocity of an object for a round trip between two points?

Accepted Answer

It is zero.

Question 15

Which of the following is dimensionally equivalent to acceleration?

Accepted Answer

$$\mathrm{L/T^2$}$$

Question 16

A student calculates $$\dfrac{72.0 - 15.60}{0.982 + 4.3}$$ and reports the answer as $$11.57. $$What is the correct answer with the proper number of significant figures?

Accepted Answer

$$11.6$$

PHYS1403: Practice Problems and Concepts in 1D Kinematics and Measurement

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